PO Box 622 • Westmont IL 60559-0622 • phan03 at alumni dot lclark dot edu
I just earned my Ph.D. in mathematics from the University of Oregon, under the direction of my advisor, Professor Brad Shelton.
In addition, I have a B.A. in mathematics and communication from Lewis & Clark College and an M.S. in mathematics from the University of Oregon.
For nonacademic employers
For academic employers
- Curriculum vitæ
- AMS standard cover sheet
- Statement of research interests
- Statement of teaching philosophy
Teaching
During my time as a graduate teaching fellow at the University of Oregon, I had the privilege of teaching twenty-one sections, ranging from college algebra to third-quarter calculus.
Mathematical Research
I am a noncommutative ring theorist whose primary research interest has been homological results involving graded algebras. For example, I have studied the Koszul and K2 properties.
Research articles
- Goresky–MacPherson duality and deformations of Koszul algebras (with T. Braden, A. Licata, N. Proudfoot, and B. Webster), under review. Preprint available at
arXiv:0905.1335[math.RA]. - Noncommutative Koszul algebras from combinatorial topology (with T. Cassidy and B. Shelton), Journal für die reine und angewandte Mathematik (Crelle’s Journal), to appear. Preprint available at
arXiv:0811:3450[math.RA]. -
The Yoneda algebra of a K2 algebra need not be another K2 algebra (with T. Cassidy and B. Shelton), Communications in Algebra, to appear. Preprint available at
arXiv:0810.4656[math.RA]. - Generalized
Koszul properties for augmented algebras, Journal of Algebra
321 (2009) 1522–1537. Preprint available at
arXiv:0711.3480[math.RA].
Selected presentations
- Noncommutative Koszul algebras from combinatorial topology, 2009 Joint Mathematics Meetings, AMS Session on Associative and Non-Associative Rings and Algebras, Washington D.C., January 2009.
- K2 properties for augmented algebras, 2008 Fall Western Section Meeting of the American Mathematical Society, Special Session on Noncommutative Algebra and Geometry, University of British Columbia, October 2008.
Disseration
- My Ph.D. dissertation: Koszul and generalized Koszul properties for noncommutative graded algebras
Personal
- My girlfriend, Sarah Budd, is a postdoctoral researcher in high energy physics at the Argonne National Laboratory. She works on the MINOS and NOvA experiments, which study the properties of neutrinos.
- I sometimes enjoy taking pictures: Flickr photostream